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Finding the Fourth Proportional to 180,166, 270,246.84 and 169,205.12

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Solution

The fourth proportional to 180,166, 270,246.84 and 169,205.12 is: 253,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,166 : 270,246.84 = 169,205.12 : x
  2. Step 2: Convert to fraction form
    180,166/270,246.84 = 169,205.12/x
  3. Step 3: Cross multiply
    180,166x = 270,246.84 × 169,205.12
  4. Step 4: Simplify right side
    180,166x = 45,727,148,991.82
  5. Step 5: Solve for x
    x = 45,727,148,991.82/180,166
  6. Step 6: Final answer
    x = 253,805.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.